Communications ...

A message signal of 20 cos (2π × 10⁴t), sampled at the Nyquist rate is given to a 10-bit PCM system. The resulting binary sequence is represented with rectangular pulses and is transmitted through free space by using ASK binary signaling scheme. The transmission bandwidth is:

Consider the following statements for M-ary PSK modulation.

I Bandwidth efficiency of 16 PSK is two times that of 4-PSK modulation

II Bandwidth efficiency is inversely Related to Probability of error.

Consider a continuously operating coherent BPSK receiver with the data rate of 5000 bits/s. The input digital waveforms are

s₁(t) = A cos ω₀ t m V

s₂(t) = -A cos ω₀ t m V

Where A = 1 mV and the signal sided noise power spectral density is N₀ = 10^-11 W/Hz.

Assume that the signal power and energy per bit are normalized relative to a 1 Ω resistive load. What is the expected number of bit errors made in one day by the BPSK receiver?

(Assume \(Q\sqrt {20} = 4.05 \times {10^{ - 6}}\))